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Finding the Third Proportional to 20,464 and 43,376

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Solution

The third proportional to 20,464 and 43,376 is: 91,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464 : 43,376 = 43,376 : x
  2. Step 2: Convert to fraction form
    20,464/43,376 = 43,376/x
  3. Step 3: Cross multiply
    20,464x = 43,376 × 43,376
  4. Step 4: Simplify right side
    20,464x = 1,881,477,376
  5. Step 5: Solve for x
    x = 1,881,477,376/20,464
  6. Step 6: Final answer
    x = 91,940.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.